Question # 1

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1

0

5

2

(1,0) is in the solution of the inequality

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3x + 2y > 8

2x - 3y < 4

2x + 3y > 3

x - 2y < -5

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cos(a-β) = ______;

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sin a cosβ + cos a sinβ

sin a cos β - cos a sinβ

cos a cos β + sin a sinβ

cos a cosβ - sin a sinβ

The towers each 120 meters high are 800 meters apart. The measure of the angle of elevation from the base of one tower to the top of the other is

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12^𝜊

9^𝜊

7^𝜊

-120^𝜊

If one root of the equation x²- 3x + a = 0 is 2 then a = ______

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0

1

2

3

A person standing on the bank of a river observes that the angle subtended by a tree of the opposite bank is 60°, when he retreats 40 m from the bank, he finds the angle to be 30°. The height of the tree and the breadth of the river are

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1st four terms of the expansion (1-x)^-2are

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1 + 2x + 3x²+ 4x³

3x²+ 2x + 1

1 + 3x + 4x²+ 5x³

None of these

Q∪ Q' =

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Q

Q'

N

R

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A = B

B = C

A = C

None of these

The slope of the normal at the point (at², 2at) of the parabola y²= 4ax is

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1/t

t

-t

-1/t

If n(X) = 18, n(X∩Y) = 7, n(X∪ Y) = 40 then n(Y) =

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1

12

5

29

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Reflexive property

Symmetric property

Cancellations property w.r.t. addition

Transitive property

If distance between (3,b) and (0,0) is 3 then b = _______

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3

9

0

The first three terms in the expansion of (1 - x)^-3are

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1 + 3x + 6x²

1 - 3x + 6x²

-3 - 3x - 6x²

1 - 3x - 6x²

If (2, 3) and (2, 5) are end points of a diameter of a circle, then the centre of the circle is

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(2, 4)

(4, 8)

(0, 2)

(0, -2)

Every natural number is

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A prime number

An irrational number

An integer

An even number

If order of A is m x n, then order of A^tis

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m x m

n x n

m x n

n x m

sin h x = ___________

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x = ________ is in the solution of 2x - 3 < 0

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2

-2

3

4

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I

|A|

|A| I

None of these

The geometrical representation of a linear function is

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Circle

Parabola

Straight lie

None of these

If Z₁= 1 + i, Z₂= 2+3i, then |Z₁- Z₂| = ?

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cos (α+β) + cos (α-β) =

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4 cosαcosβ

2 cosαcosβ

2 sinαsinβ

2 sinαcosβ

Range of 3 sin x is ______

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[ -3, 3]

[-1, 1]

R

None of these

If n is any positive integer then n! > n²for

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∀x,y∈ R and x < 0, y < 0, which one is true

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xy < o

xy = o

xy > o

None of these

The solution of equation x2 + 2 = 0 in the set of real number is

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Infinite set

Singleton set

Null set

None of these

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